عنوان

Euclidean and non-Euclidean geometry :

0521256542

0521276357

9780521256544

9780521276351

dltt

Euclidean and non-Euclidean geometry :

[Book]

an analytical approach /

Patrick J. Ryan

xvii, 215 pages :

illustrations ;

24 cm

Includes bibliographical references (pages 210-211) and index

This book gives a rigorous treatment of the fundamentals of plane geometry: Euclidean, spherical, elliptical and hyperbolic. The primary purpose is to acquaint the reader with the classical results of plane Euclidean and nonEuclidean geometry, congruence theorems, concurrence theorems, classification of isometries, angle addition and trigonometrical formulae. However, the book not only provides students with facts about and an understanding of the structure of the classical geometries, but also with an arsenal of computational techniques for geometrical investigations. The aim is to link classical and modern geometry to prepare students for further study and research in group theory, Lie groups, differential geometry, topology, and mathematical physics. The book is intended primarily for undergraduate mathematics students who have acquired the ability to formulate mathematical propositions precisely and to construct and understand mathematical arguments. Some familiarity with linear algebra and basic mathematical functions is assumed, though all the necessary background material is included in the appendices

Geometry, Non-Euclidean

Geometry, Plane

GEOMETRIE EUCLIDIENNE

PLAN EUCLIDIEN

PLAN PROJECTIF

Ryan, Patrick J

20160712045530.0

[Book]

Y